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674029056 = 2931783311
BaseRepresentation
bin101000001011001…
…101111000000000
31201222022020001010
4220023031320000
52340022412211
6150514440520
722463103201
oct5013157000
91658266033
10674029056
11316521008
12169893140
13a984827c
14657375a8
153e2924a6
hex282cde00

674029056 has 160 divisors (see below), whose sum is σ = 1930376448. Its totient is φ = 208240640.

The previous prime is 674029051. The next prime is 674029079. The reversal of 674029056 is 650920476.

It is a super-2 number, since 2×6740290562 = 908630336664502272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674029051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2167141 + ... + 2167451.

Almost surely, 2674029056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965188224).

674029056 is an abundant number, since it is smaller than the sum of its proper divisors (1256347392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

674029056 is a wasteful number, since it uses less digits than its factorization.

674029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 674029056 is about 25962.0695631146. The cubic root of 674029056 is about 876.7845185254.

The spelling of 674029056 in words is "six hundred seventy-four million, twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 128 136 166 192 204 249 256 272 311 332 384 408 498 512 544 622 664 768 816 933 996 1088 1244 1328 1411 1536 1632 1866 1992 2176 2488 2656 2822 3264 3732 3984 4233 4352 4976 5287 5312 5644 6528 7464 7968 8466 8704 9952 10574 10624 11288 13056 14928 15861 15936 16932 19904 21148 21248 22576 25813 26112 29856 31722 31872 33864 39808 42296 42496 45152 51626 59712 63444 63744 67728 77439 79616 84592 90304 103252 119424 126888 127488 135456 154878 159232 169184 180608 206504 238848 253776 270912 309756 338368 361216 413008 438821 477696 507552 541824 619512 676736 722432 826016 877642 1015104 1083648 1239024 1316463 1353472 1652032 1755284 2030208 2167296 2478048 2632926 2706944 3304064 3510568 4060416 4956096 5265852 6608128 7021136 8120832 9912192 10531704 13216256 14042272 19824384 21063408 28084544 39648768 42126816 56169088 84253632 112338176 168507264 224676352 337014528 674029056